Results 1 to 10 of about 1,404,153 (88)
Notes on Number Theory and Discrete Mathematics, 2022 Corrigendum to “On the dimension of an Abelian group” [Notes on Number Theory and Discrete Mathematics, 2021, Volume 27, Number 4, Pages 267—275]
T. Tossavainen, P. Haukkanen
semanticscholar +1 more source
Smooth affine group schemes over the dual numbers [PDF]
Épijournal de Géométrie Algébrique, 2019 We provide an equivalence between the category of affine, smooth group schemes over the ring of generalized dual numbers $k[I]$, and the category of extensions of the form $1 \to \text{Lie}(G, I) \to E \to G \to 1$ where G is an affine, smooth group ...
Matthieu ROMAGNY, Dajano Tossici
doaj +1 more source
Journal of Central Banking Theory and Practice, 2022 In this paper, we use index number theory to decompose changes in total interest rate due to changes in the interest rate component and the weight component. We discuss the optimal calculation of a binary index using axiomatic index number theory.
K. Poghosyan, R. Poghosyan
semanticscholar +1 more source
Fractal projections with an application in number theory [PDF]
Ergodic Theory and Dynamical Systems, 2020 In this paper, we discuss a connection between geometric measure theory and number theory. This method brings a new point of view for some number-theoretic problems concerning digit expansions.
Han Yu
semanticscholar +1 more source
Periodic balanced binary triangles [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 A binary triangle of size $n$ is a triangle of zeroes and ones, with $n$ rows, built with the same local rule as the standard Pascal triangle modulo $2$.
Jonathan Chappelon
doaj +1 more source
Three Hopf algebras from number theory, physics & topology, and their common background II: general categorical formulation [PDF]
Communications in Number Theory and Physics, 2020 We consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebra of Goncharov for multiple zeta values, that of Connes-Kreimer for renormalization, and a ...
Imma G'alvez-Carrillo +2 more
semanticscholar +1 more source
On certain sums of number theory [PDF]
International Journal of Number Theory, 2020 We study sums of the shape $\sum_{n \leqslant x} f \left( \lfloor x/n \rfloor \right)$ where $f$ is either the von Mangoldt function or the Dirichlet-Piltz divisor functions.
O. Bordellès
semanticscholar +1 more source
, 2006 Combining the arguments developed in the works of D. A. Goldston, S. W. Graham, J. Pintz, and C. Y. Yildirim [Preprint, 2005, arXiv: math.NT/506067] and Y. Motohashi [Number theory in progress – A.
Y. Motohashi, J. Pintz
semanticscholar +1 more source
On the λ-stability of p-class groups along cyclic p-towers of a number field [PDF]
International Journal of Number Theory, 2021 . Let k be a number field, p ≥ 2 a prime and S a set of tame or wild finite places of k . We call K/k a totally S -ramified cyclic p -tower if Gal( K/k ) ≃ Z /p N Z and if S 6 = ∅ is totally ramified. Using analogues of Chevalley’s formula (Gras, Proc. Math.
Georges Gras
semanticscholar +1 more source
Rarefied Thue-Morse Sums Via Automata Theory and Logic [PDF]
Journal of Number Theory, 2023 Let $t(n)$ denote the number of $1$-bits in the base-$2$ representation of $n$, taken modulo $2$.
J. Shallit
semanticscholar +1 more source